Boundary Value Problems for Odd Order Forward-Backward-Type Differential Equations with Two Time Variables

We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those th...

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Bibliographic Details
Published in:Siberian mathematical journal 2018-09, Vol.59 (5), p.870-884
Main Authors: Kozhanov, A. I., Potapova, S. V.
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Mathematics
Mathematics and Statistics
Uniqueness theorems
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Summary:We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those that have all Sobolev generalized derivatives entering the equation under study.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618050117